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BesselI, BesselJ - The Bessel functions of the first kind
BesselK, BesselY - The Bessel functions of the second kind
HankelH1, HankelH2 - The Hankel functions (Bessel functions of the third kind)
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Calling Sequence
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BesselI(v, x)
BesselJ(v, x)
BesselK(v, x)
BesselY(v, x)
HankelH1(v, x)
HankelH2(v, x)
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Parameters
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v
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algebraic expression (the order or index)
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x
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algebraic expression (the argument)
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Description
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BesselJ and BesselY are the Bessel functions of the first and second kinds, respectively. They satisfy Bessel's equation:
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BesselI and BesselK are the modified Bessel functions of the first and second kinds, respectively. They satisfy the modified Bessel equation:
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HankelH1 and HankelH2 are the Hankel functions, also known as the Bessel functions of the third kind. They also satisfy Bessel's equation, and are related to BesselJ and BesselY by
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Examples
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Download Help Document
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